title: An appropriate bounded invariant region for a bistable reaction-diffusion model of the caspase-3/8 feedback loop.
abstract: The apoptotic caspase-3/8 feedback loop describes the core of the extrinsic pro-apoptotic signaling pathway, an essential part of apoptosis. Latter is a prototype of the programmed cell death, which enables organisms to remove damaged or infected cells. The reaction network of the caspase-3/8 feedback loop in a single cell is modeled by a reaction-diffusion system, which shows a bistable behavior. In this work, we present an appropriate bounded invariant region for the bistable reaction-diffusion system in order to theoretically confirm that diffusion rapidly balances the concentrations of the different caspase types. This justifies the decomposition of the dynamics into a diffusion dominated part on a very short time scale and a pure reaction driven dynamics on a large time scale.
authors.affiliation: Institute for Analysis, Dynamics and Modeling, University of Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany, Markus.Daub@mathematik.uni-stuttgart.de.
authors.forename: Markus
authors.initials: M
authors.lastname: Daub
mesh_terms: D000465:Algorithms; D017209:Apoptosis / Q000502:physiology; D053148:Caspase 3 / Q000378:metabolism*; D053181:Caspase 8 / Q000378:metabolism*; D025461:Feedback, Physiological; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D015398:Signal Transduction
chemical_list: D053148:Caspase 3; D053181:Caspase 8